ORIGINAL_ARTICLEHYPERRULED SURFACES IN MINKOWSKI 4-SPACEIn this paper, the time-like hyperruled surfaces in the Minkowski 4-space and their algebraicinvariants are worked. Also some characteristic results are found about these algebraic invariants.http://ijsts.shirazu.ac.ir/article_2810_2fdadc0f5858b8c7c132ee7ac3a6e46b.pdf2005-12-28T11:23:202018-08-15T11:23:2034134710.22099/ijsts.2005.2810ruled surfacesrulingsmain curvaturescalar curvaturetime-like vectorR.ASLANERtrue1Department of Mathematics, Inönü University, 44280 Malatya, TurkeyDepartment of Mathematics, Inönü University, 44280 Malatya, TurkeyDepartment of Mathematics, Inönü University, 44280 Malatya, TurkeyLEAD_AUTHORORIGINAL_ARTICLEANGULAR DEPENDENT MAGNETORESISTANCE OSCILLATION IN STAGE-2 IBr GRAPHITE INTERCALATION COMPOUNDThe angular dependent magnetoresistance oscillation (ADMRO) of the stage-2 IBr graphiteintercalation compound (GIC) was studied between 1.8 K and 110 K in magnetic fields between 1 and 9T. There was a series of peaks in the c-axis resistance as the field direction was changed from the c axisto the (001) plane. The field independence of the angular positions of the peaks, showing that theoscillation is not from the Shubnikov-de Haas effect, and the presence of the oscillation at hightemperatures indicate that the effect is semiclassic. The location and the relative amplitudes of the peaksshow that the ADMRO in this compound does not follow the predictions for the symmetrical corrugationmodel of the cylindrical Fermi surface. The reason is attributed to the presence of two cylindrical Fermisurfaces and zone folding of the Fermi surface by the periodicity of the IBr lattice in this compound.http://ijsts.shirazu.ac.ir/article_2811_d5686fab19aa01ed8a1a7bfb69baa70b.pdf2005-12-28T11:23:202018-08-15T11:23:2034935610.22099/ijsts.2005.2811Graphite intercalation compoundADMRO effectM.BARATItrue1Department of Physics, Shiraz University, Shiraz, I. R. of Iran 71454Department of Physics, Shiraz University, Shiraz, I. R. of Iran 71454Department of Physics, Shiraz University, Shiraz, I. R. of Iran 71454LEAD_AUTHORP. K.UMMATtrue2Department of Physics and Astronomy, McMaster University, Hamilton, ON, L8S 4M1, CanadaDepartment of Physics and Astronomy, McMaster University, Hamilton, ON, L8S 4M1, CanadaDepartment of Physics and Astronomy, McMaster University, Hamilton, ON, L8S 4M1, CanadaAUTHORG.LUKEtrue3Department of Physics and Astronomy, McMaster University, Hamilton, ON, L8S 4M1, CanadaDepartment of Physics and Astronomy, McMaster University, Hamilton, ON, L8S 4M1, CanadaDepartment of Physics and Astronomy, McMaster University, Hamilton, ON, L8S 4M1, CanadaAUTHORW. R.DATARStrue4Department of Physics and Astronomy, McMaster University, Hamilton, ON, L8S 4M1, CanadaDepartment of Physics and Astronomy, McMaster University, Hamilton, ON, L8S 4M1, CanadaDepartment of Physics and Astronomy, McMaster University, Hamilton, ON, L8S 4M1, CanadaAUTHORORIGINAL_ARTICLEON GENERAL RELATIVELY ISOTROPIC L-CURVATURE FINSLER METRICSIn this paper the general relatively isotropic L -curvature Finsler metrics are studied. It isshown that on constant relatively Landsberg spaces, the concepts of weakly Landsbergian, Landsbergianand generalized Landsbergian metrics are equivalent. Some necessary conditions for a relativelyisotropic L -curvature Finsler metric to be a Riemannian metric are also found.http://ijsts.shirazu.ac.ir/article_2812_3ec2d485739429c1284f819a17e1ed16.pdf2005-12-28T11:23:202018-08-15T11:23:2035736610.22099/ijsts.2005.2812Finsler metric(generalized) Landsberg metric(mean) landsberg curavture(mean) Cartan tensorDouglas tensorFunk metricRanders metricB.NAJAFItrue1Department of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranLEAD_AUTHORA.TAYEBItrue2Department of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranAUTHORM. M.REZAIItrue3Department of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranAUTHORORIGINAL_ARTICLEELECTRON ACCELERATION AND EXCITATION PROCESSES IN THE VICINITY OF A MERCURY DISCHARGE CONSTRICTIONIn the present paper axial distributions of plasma and floating potentials, electron and iondensities and EEDF have been measured in the DL region of a Hg discharge constriction. An attempt hasbeen made for the resolution of opposing charged layer structures in DL. Excitation processes in theconstriction region are studied. Using the linearization method for the nonstationary balance equationssystem and choosing appropriate discharge conditions, the step excitation rate by the electron impact for6 3 P 2 →7 1 S 0 transition in Hg is determined.http://ijsts.shirazu.ac.ir/article_2813_af8332e94ffa5ce5f445ce6c441a01ca.pdf2005-12-28T11:23:202018-08-15T11:23:2036737510.22099/ijsts.2005.2813Double layers (DL)EEDFplasma parametersexcitation processesconstriction edgeexcitation
ratesmodulation depthsspectral linesS.FAZLIANtrue11Faculty of Physics, University of Tabriz, Tabriz, I. R. of Iran,1Faculty of Physics, University of Tabriz, Tabriz, I. R. of Iran,1Faculty of Physics, University of Tabriz, Tabriz, I. R. of Iran,LEAD_AUTHORS.SOBHANIANtrue2Faculty of Physics, University of Tabriz, Tabriz, I. R. of IranFaculty of Physics, University of Tabriz, Tabriz, I. R. of IranFaculty of Physics, University of Tabriz, Tabriz, I. R. of IranAUTHORA.MURADOVtrue3Physics Dept., Baku State University, Baku, AzerbaijanPhysics Dept., Baku State University, Baku, AzerbaijanPhysics Dept., Baku State University, Baku, AzerbaijanAUTHORORIGINAL_ARTICLEINFORMATION MATRIX FOR A MIXTURE OF TWO PARETO DISTRIBUTIONSThe Fisher information matrix for a mixture of two Pareto distributions is derived. Numericaltabulations of the matrix are also provided for practical purposes. The work is motivated by a real-lifeexample.http://ijsts.shirazu.ac.ir/article_2814_69a91a8da9260173b19ae6d68b85daaa.pdf2005-12-28T11:23:202018-08-15T11:23:2037738510.22099/ijsts.2005.2814Lerch functionpareto distributionS.NADARAJAHtrue11Department of Statistics, University of Nebraska, Lincoln, NE, USA, 685831Department of Statistics, University of Nebraska, Lincoln, NE, USA, 685831Department of Statistics, University of Nebraska, Lincoln, NE, USA, 68583LEAD_AUTHORS.KOTZtrue2Department of Engineering Management and Systems Engineering,
George Washington University, Washington, D. C. USA, 20052Department of Engineering Management and Systems Engineering,
George Washington University, Washington, D. C. USA, 20052Department of Engineering Management and Systems Engineering,
George Washington University, Washington, D. C. USA, 20052AUTHORORIGINAL_ARTICLEEFFECT OF MONITORING TIME INTERVAL ON THE RESULTS OF STOCHASTIC ANALYSIS OF KARST WATER RESOURCESData monitoring is important in the study and analysis of hydrological behaviors of karsticsystems. Monitoring shows the various regimes of groundwater flow (laminar or turbulent), depletion,filling, filtration and karstification degree of karst aquifers. In recent years, analyses of these data hadconsiderable advances using stochastic time series analyses. An important problem related to theseanalyses is the constraint of financial and technical human support. If we can increase the time intervals,the costs are lowered and development of new monitoring networks will be possible. In this research, theeffect of monitoring time intervals on the results of time series analysis and calculated hydrologic delaytimes are studied, using bivariate analyses in spectral domain. The first (shorter) and the second (longer)delay times are related to the flow of groundwater through the larger and smaller fractures of the karsticsystem, respectively. Daily groundwater level data of three piezometers and the discharge of a spring inthe Maharlu karst basin in Iran (52􀁄12′ to 53􀁄28′E and 29􀁄1′ to 30􀁄6′N ) were acquired and then sixdifferent time series having different time intervals (1, 3, 7, 10, 14 and 30 days) were extracted andanalyzed. The results show that the variation of the computed stochastic parameters with increasing timeintervals is unpredictable, but the variation of time (period) corresponding to the frequency at the peak ofamplitude function (curve) shows a linear and predictable relationship, which is unique for every kind ofkarstic aquifer having different degrees of karstification.http://ijsts.shirazu.ac.ir/article_2815_e4d792d269fba9a9da978a1f80d5196a.pdf2005-12-28T11:23:202018-08-15T11:23:2038739910.22099/ijsts.2005.2815KarstTime seriessquared coherencyphaseamplitudedelay timeM.ZAREtrue1Department of Geology, Shiraz University, I. R. of Iran
2Department of Statistics, Shiraz University, I. R. of IranDepartment of Geology, Shiraz University, I. R. of Iran
2Department of Statistics, Shiraz University, I. R. of IranDepartment of Geology, Shiraz University, I. R. of Iran
2Department of Statistics, Shiraz University, I. R. of IranAUTHORA. R.NEMATOLLAHItrue2Department of Statistics, Shiraz University, I. R. of IranDepartment of Statistics, Shiraz University, I. R. of IranDepartment of Statistics, Shiraz University, I. R. of IranLEAD_AUTHORM.RAHNEMAEItrue3Department of Irrigation, Shiraz Islamic Azad University, I. R. of IranDepartment of Irrigation, Shiraz Islamic Azad University, I. R. of IranDepartment of Irrigation, Shiraz Islamic Azad University, I. R. of IranAUTHORORIGINAL_ARTICLEA NEW METHOD FOR ELECTRIC FIELD OPTIMIZATION IN HIGH POWER LASER MULTILAYERSSpatial distribution of electric field amplitude has an essential role in laser-induced damagemulti-layer coating. A new method introduced in this paper to reduce the electric field intensityeffectively within the high index layers in multi-layer reflectors that are irradiated by high power lasers.The design is based on specific non-quarter wave pairs, assuming the number of layers is held constant.Using a combination of periodic and non-periodic pairs of a non-quarter wave stack with an appropriatethickness for a specific angle of incidence, minimum electric field can be obtained within the high indexlayers for the S or P polarization. Different results can be obtained if the non-periodic pairs are placedadjacent to the substrate, or to the ambient. We have shown that by the former design, a lower electricfield can be achieved within the layers and the mirror can be optimized. The optimization was carriedout for oblique incidence and the effect of angle of incidence was examined for both S and Ppolarizations.http://ijsts.shirazu.ac.ir/article_2816_1faf57c21d8441ae18e765ab67979c52.pdf2005-12-28T11:23:202018-08-15T11:23:2040141010.22099/ijsts.2005.2816Optical multi-layershigh power laser mirrorsoptical damageelectric field reductionM. H.MAHDIEHtrue1Department of Physics, Iran University of Science and Technology, Narmak, Tehran, I. R. of IranDepartment of Physics, Iran University of Science and Technology, Narmak, Tehran, I. R. of IranDepartment of Physics, Iran University of Science and Technology, Narmak, Tehran, I. R. of IranLEAD_AUTHORM.ALAVI-NEJADtrue2Department of Physics, Iran University of Science and Technology, Narmak, Tehran, I. R. of IranDepartment of Physics, Iran University of Science and Technology, Narmak, Tehran, I. R. of IranDepartment of Physics, Iran University of Science and Technology, Narmak, Tehran, I. R. of IranAUTHORORIGINAL_ARTICLEEXTREMAL ORDERS INSIDE SIMPLE ARTINIAN RINGSThe aim of this paper is to study orders over a valuation ring V with arbitrary rank in acentral simple F-algebra Q. The relation between all of the orders is explained with a diagram. It is thenshown that inside Bezout order, extremal V-orders are precisely semi-hereditary. In the last section, theeffect of Henselization on maximal and semi-hereditary orders is examined.http://ijsts.shirazu.ac.ir/article_2817_62d19d2ec79077ab2b70dcc65e62f64a.pdf2005-12-28T11:23:202018-08-15T11:23:2041142010.22099/ijsts.2005.2817Dubrovin valuation ringsextremal ordersHenselizationN. H.HALIMItrue184 Manburgh Tce, Darra, QLD 4076, Australia84 Manburgh Tce, Darra, QLD 4076, Australia84 Manburgh Tce, Darra, QLD 4076, AustraliaLEAD_AUTHORORIGINAL_ARTICLEON THE INVESTIGATION OF SPARK FORMATION CONDITIONS AND ENERGY GAIN IN INERTIAL CONFINEMENT FUSIONIn isobaric models for inertial confinement fusion it is assumed that the target configurationat stagnation time (maximum compression) consists of two regions, hot spark and cold fuel, respectively.Here the conditions of spark formation and ignition in hydrogen equimolar isotopes in central sparkignition are investigated and permissible values of Hs and Ts are evaluated numerically. By introducing adimensionless parameter, ψs, the class of targets are considered by the specific value of ψs. Finally,limiting fuel energy gain curve (Gf*) as a function of ignition energy (Eign) allows different implosionvelocities to be calculated. This result is in good agreement with more complex hydrodynamic models.http://ijsts.shirazu.ac.ir/article_2818_e2c40591159c56838c97453e3778604e.pdf2005-12-28T11:23:202018-08-15T11:23:2042143110.22099/ijsts.2005.2818Central spark ignitionspark parameterisobaric modellimiting gain curveA.GHASEMIZADtrue11Department of Physics, Faculty of Science, University of Guilan, Rasht, I. R. of Iran,1Department of Physics, Faculty of Science, University of Guilan, Rasht, I. R. of Iran,1Department of Physics, Faculty of Science, University of Guilan, Rasht, I. R. of Iran,LEAD_AUTHORM. R.ESKANDARItrue2Department of Physics, Shiraz University, Shiraz, I. R. of IranDepartment of Physics, Shiraz University, Shiraz, I. R. of IranDepartment of Physics, Shiraz University, Shiraz, I. R. of IranAUTHORS.KHOSHBINFARtrue3Department of Physics, Faculty of Science, University of Guilan, Rasht, I. R. of IranDepartment of Physics, Faculty of Science, University of Guilan, Rasht, I. R. of IranDepartment of Physics, Faculty of Science, University of Guilan, Rasht, I. R. of IranAUTHORM.KAMRANtrue4Department of Physics, Faculty of Science, University of Guilan, Rasht, I. R. of IranDepartment of Physics, Faculty of Science, University of Guilan, Rasht, I. R. of IranDepartment of Physics, Faculty of Science, University of Guilan, Rasht, I. R. of IranAUTHORORIGINAL_ARTICLEUSING FUZZY KNOWLEDGE OF A NUISANCE PARAMETER FOR HYPOTHESIS TESTINGThe problem of hypothesis testing with a nuisance parameter is considered. Two methods forusing fuzzy knowledge on the nuisance parameter to test hypotheses are suggested. These methods areneither a pure classical nor a pure Bayesian approach to hypothesis testing, but rather related to both. Afew known examples and their applications, which cannot be studied by the parametric statisticalmethods, are discussed.http://ijsts.shirazu.ac.ir/article_2819_7710b20c222e8a91298a9202beade963.pdf2005-02-27T11:23:202018-08-15T11:23:2043345410.22099/ijsts.2005.2819Fuzzy Statisticsdefuzzified distributionweighted defuzzification-Estimatorexchangeable
normal DistributionJ.BEHBOODIANbehboodian@stat.susc.ac.ir,true11Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R. of Iran1Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R. of Iran1Department of Mathematics, Shiraz Islamic Azad University, Shiraz, I. R. of IranLEAD_AUTHORA.MOHAMMADPOURtrue2Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology,
424 Hafez Ave., Tehran, I. R. of Iran, 15914Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology,
424 Hafez Ave., Tehran, I. R. of Iran, 15914Department of Statistics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology,
424 Hafez Ave., Tehran, I. R. of Iran, 15914AUTHORORIGINAL_ARTICLEON THE INTEGRAL INVARIANTS OF KINEMATICALLY GENERATED RULED SURFACESIn this paper, the dual area vector of a closed dual spherical curve is kinematically generatedand the dual Steineer vector of a motion are extensively studied by the methods of differential geometry.Jacobi’s Theorems, known for real curves, are investigated for closed dual curves. The closed trajectorysurfaces generated by an oriented line are fixed in a moving rigid body in IR3 , in which the closed dualcurves from E. Study’s transference principle is studied. The integral invariants of these closed ruledsurfaces are calculated by means of the area vector. Moreover, some theorems, results and examples aregiven.http://ijsts.shirazu.ac.ir/article_2820_8a3f1287b2fff270d6c689fd8bbe547e.pdf2005-02-27T11:23:202018-08-15T11:23:2045547010.22099/ijsts.2005.2820Mechanismkinematicsarea vectorsruled surfacesinvariants and motionsH. B.KARADAGtrue1Department of Mathematics, Faculty of Sciences and Arts, Inönü University,
44069 Malatya, TurkeyDepartment of Mathematics, Faculty of Sciences and Arts, Inönü University,
44069 Malatya, TurkeyDepartment of Mathematics, Faculty of Sciences and Arts, Inönü University,
44069 Malatya, TurkeyLEAD_AUTHORS.KELEStrue2Department of Mathematics, Faculty of Sciences and Arts, Inönü University,
44069 Malatya, TurkeyDepartment of Mathematics, Faculty of Sciences and Arts, Inönü University,
44069 Malatya, TurkeyDepartment of Mathematics, Faculty of Sciences and Arts, Inönü University,
44069 Malatya, TurkeyAUTHORORIGINAL_ARTICLEAIR POLLUTION ASSESSMENT IN SHIRAZ BY PASSIVE SAMPLING TECHNIQUESThe air quality in Shiraz was assessed based on a one-week passive sampling campaign.During the first week of the summer 2003, about 400 passive samplers were used in groups of two andthree, so that 187 sampling stations covered all of Shiraz. Pollutant gases including SO2, NO2 and BTX(benzene, toluene and xylene) were sampled by diffusive sampling tubes. Collected samples wereanalyzed and pollutant concentrations were determined by using ion chromatography, spectrophotometryand gas chromatography techniques. The result of the analysis shows that SO2 and NO2 concentrationsexceed national and international standards in the central and southern parts of Shiraz. Weekly averagedconcentrations of benzene, toluene and xylene at all sampling sites were 105, 206 and 123 μg/m3, whichexceed national and international standards.Based on the results, more than 15% of Shiraz's population (180,000 out of 1.2 million people)were exposed to high levels of NO2 during this survey period.http://ijsts.shirazu.ac.ir/article_2821_fdda54545c67a6cf90ba3218724b577c.pdf2005-02-27T11:23:202018-08-15T11:23:2047148010.22099/ijsts.2005.2821Urban air pollutionpassive samplingair qualityBTX concentrationK.HADADhadadk@shirazu.ac.irtrue11Department of Nuclear Engineering, Shiraz University, Shiraz, I. R. of Iran, 713451Department of Nuclear Engineering, Shiraz University, Shiraz, I. R. of Iran, 713451Department of Nuclear Engineering, Shiraz University, Shiraz, I. R. of Iran, 71345LEAD_AUTHORA.SAFAVItrue2Department of Chemistry, Shiraz University, Shiraz, I. R. of Iran, 71454Department of Chemistry, Shiraz University, Shiraz, I. R. of Iran, 71454Department of Chemistry, Shiraz University, Shiraz, I. R. of Iran, 71454AUTHORR.TAHONtrue3ETI Group Burgeap, 92772 Boulogne Billancourt Cedex, FranceETI Group Burgeap, 92772 Boulogne Billancourt Cedex, FranceETI Group Burgeap, 92772 Boulogne Billancourt Cedex, FranceAUTHORORIGINAL_ARTICLETRANSFORMATION SEMIGROUPS AND EXACT SEQUENCESThis text carries out some ideas about exact and P− exact sequences of transformationsemigroups. Some theorems like the short five lemma (Lemma 1.3 and Lemma 2.3) are valid here as inexact sequences of R − modules.http://ijsts.shirazu.ac.ir/article_2822_838138855031870967c60812ee721d3f.pdf2005-02-27T11:23:202018-08-15T11:23:2048149510.22099/ijsts.2005.2822a − minimal setexact sequenceP− exact sequenceproximal relationtransformation semigroupF.AYATOLLAH ZADEH SHIRAZItrue1Department of Mathematics, Faculty of Science, University of
Tehran, Enghelab Ave., Tehran, I. R. of IranDepartment of Mathematics, Faculty of Science, University of
Tehran, Enghelab Ave., Tehran, I. R. of IranDepartment of Mathematics, Faculty of Science, University of
Tehran, Enghelab Ave., Tehran, I. R. of IranLEAD_AUTHORORIGINAL_ARTICLEON GENERAL RELATIVELY ISOTROPIC MEAN LANDSBERG METRICSThe general relatively isotropic mean Landsberg metrics contain the general relativelyisotropic Landsberg metrics. A class of Finsler metrics is given, in which the mentioned two conceptsare equivalent. In this paper, an interpretation of general relatively isotropic mean Landsberg metrics isfound by using C-conformal transformations. Some necessary conditions for a general relativelyisotropic mean Landsberg metric, as well as generalized Landsberg metric to be a Riemannian metric arealso found.http://ijsts.shirazu.ac.ir/article_2823_90a1f40868e91842e0619d4d84578a41.pdf2005-02-27T11:23:202018-08-15T11:23:2049750510.22099/ijsts.2005.2823Finsler structureCartan connection(generalized) Landsberg metricscalar curvatureC2-like
spacec-conformal transformationB.NAJAFItrue1Department of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranLEAD_AUTHORA.TAYEBItrue2Department of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranAUTHORM. M.REZAIItrue3Department of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranDepartment of Mathematics and Computer Science
of Amir-Kabir University, Tehran, I. R. of IranAUTHORORIGINAL_ARTICLETHE STRUCTURE OF (α,β)-DERIVATIONS OF TRIANGULAR RINGSLet R and S be reduced rings with identities whose idempotents are central, and let M be an(R, S)-bimodule such that annr (M)=0. In this paper, we determine first the structure of automorphisms ofthe triangular ring, =SR MT0, and then, for all automorphisms α ,β of T we determine the structureof (α,β)-derivations of T.http://ijsts.shirazu.ac.ir/article_2824_9c3c1808dd2dab02b817767301f7eb17.pdf2005-02-27T11:23:202018-08-15T11:23:2050751410.22099/ijsts.2005.2824Triangular ringautomorphism(αβ ) -derivationM. N.GHOSSEIRItrue1Department of Mathematics, Kurdistan University
P. O. Box 416, Sanandaj, I. R. of IranDepartment of Mathematics, Kurdistan University
P. O. Box 416, Sanandaj, I. R. of IranDepartment of Mathematics, Kurdistan University
P. O. Box 416, Sanandaj, I. R. of IranLEAD_AUTHORORIGINAL_ARTICLEINSTABILITY OF SOLUTIONS OF CERTAIN NONLINEAR VECTOR DIFFERENTIAL EQUATIONS OF ORDER SEVENSufficient conditions are established under which the zero solution X = 0 of equation (2) isunstable.http://ijsts.shirazu.ac.ir/article_2825_a8ec38612da6961acdeef265e22fd009.pdf2005-02-27T11:23:202018-08-15T11:23:2051552110.22099/ijsts.2005.2825Nonlinear differential equationsseventh orderinstabilityLyapunov’s second (direct) methodC.TUNCtrue11Department of Mathematics, Faculty of Sciences and Literature,
Yüzüncü Yil University, 65080, Van, Turkey1Department of Mathematics, Faculty of Sciences and Literature,
Yüzüncü Yil University, 65080, Van, Turkey1Department of Mathematics, Faculty of Sciences and Literature,
Yüzüncü Yil University, 65080, Van, TurkeyLEAD_AUTHORE.TUNCtrue2Department of Mathematics, Faculty of Science and Literature,
Gaziosman Paşa University, 60080, Tokat, TurkeyDepartment of Mathematics, Faculty of Science and Literature,
Gaziosman Paşa University, 60080, Tokat, TurkeyDepartment of Mathematics, Faculty of Science and Literature,
Gaziosman Paşa University, 60080, Tokat, TurkeyAUTHORORIGINAL_ARTICLEON THE MOMENTS OF LKDThe mean and variance of the Lagrangian Katz family of distribution (LKD), the basicLagrangian Katz distribution of Type I (LKD-I) and Type II (LKD-II) are provided in an easy method.The recurrence relation between the non-central, central and factorial moments, and the recurrencerelation between moments and cumulants of LKD, LKD-I and LKD-II are given. The first fourcumulants of LKD-I and LKD-II are provided.http://ijsts.shirazu.ac.ir/article_2826_e500a7576eb164d442bdb20b3d6415b8.pdf2005-02-27T11:23:202018-08-15T11:23:2052352910.22099/ijsts.2005.2826Lagrangian Katz Family of Distribution (LKD)recurrence relationscentralnon-central and
factorial momentscumulantsABAZARGAN-LARItrue1Department of Statistics, Shiraz University, Shiraz, I. R. of IranDepartment of Statistics, Shiraz University, Shiraz, I. R. of IranDepartment of Statistics, Shiraz University, Shiraz, I. R. of IranLEAD_AUTHORORIGINAL_ARTICLECONFORMAL VECTOR FIELDS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLDLet M be an n-dimensional Riemannian manifold and TM its tangent bundle. Theconformal and fiber preserving vector fields on TM have well-known physical interpretations and havebeen studied by physicists and geometricians. Here we define a Riemannian or pseudo-Riemannian liftmetric g􀀄 on TM , which is in some senses more general than other lift metrics previously defined onTM , and seems to complete these works. Next we study the lift conformal vector fields on (TM,g􀀄) andprove among the others that, every complete lift conformal vector field on TM is homothetic, andmoreover, every horizontal or vertical lift conformal vector field on TM is a Killing vector.http://ijsts.shirazu.ac.ir/article_2827_9795fa11b38852d02d951bd9f80126d8.pdf2005-02-27T11:23:202018-08-15T11:23:2053153910.22099/ijsts.2005.2827Complete lift metricConformalHomotheticKilling and Fiber-preserving vector fieldsS.HEDAYATIANtrue1Faculty of Mathematics, Amir-Kabir University of Technology, Hafez Ave. 15914, Tehran, I. R. of IranFaculty of Mathematics, Amir-Kabir University of Technology, Hafez Ave. 15914, Tehran, I. R. of IranFaculty of Mathematics, Amir-Kabir University of Technology, Hafez Ave. 15914, Tehran, I. R. of IranAUTHORB.BIDABADtrue2Faculty of Mathematics, Amir-Kabir University of Technology, Hafez Ave. 15914, Tehran, I. R. of IranFaculty of Mathematics, Amir-Kabir University of Technology, Hafez Ave. 15914, Tehran, I. R. of IranFaculty of Mathematics, Amir-Kabir University of Technology, Hafez Ave. 15914, Tehran, I. R. of IranLEAD_AUTHOR